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Finding the Fourth Proportional to 176,643.21, 243,831.05 and 105,023.07

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Solution

The fourth proportional to 176,643.21, 243,831.05 and 105,023.07 is: 144,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,643.21 : 243,831.05 = 105,023.07 : x
  2. Step 2: Convert to fraction form
    176,643.21/243,831.05 = 105,023.07/x
  3. Step 3: Cross multiply
    176,643.21x = 243,831.05 × 105,023.07
  4. Step 4: Simplify right side
    176,643.21x = 25,607,884,907.21
  5. Step 5: Solve for x
    x = 25,607,884,907.21/176,643.21
  6. Step 6: Final answer
    x = 144,969.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.